Find Two Integers Whose Sum Is -5 And Product Is -36
Find two integers whose sum is -5 and product is -36
Answer:
-4 and 9
Step-by-step explanation:
Find two integers whose sum is -5 and product is -36
let x be the first integer
y be the second integer
x + y = -5 (eq 1)
x × y = -36 (eq 2)
solve for x and y
from eq 2
x = -36 / y (eq 3)
substitute eq 3 to eq 1
(-36/y) + y = -5
multiply both sides by y
-36 + y² = -5y
y² + 5y -36 = 0
(y + 9) (y - 4) = 0
y = -9 or y = 4
if y = -9
x = (-36/-9) = 4
if y = 4
x = (-36/4) = -9
Therefore, the integers are -4 and 9
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